Abstract
It is shown that double-orthogonal sets (diamonds) in Minkowski space form an orthomodular complete lattice. Connection with empirical logic of Randall and Foulis is discussed.
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Domotor, Z.: Synthese24, 5 (1972)
Zeeman, E.C.: J. Math. Phys.5, 490 (1964)
Alonso, J.L., Yndurain, F.Y.: Commun. math. Phys.4, 349 (1967)
Teppati, G.: Nuovo Cimento54A, 800 (1968)
Gheorghe, C., Mihul, E.: Commun. math. Phys.14, 165 (1969)
Borchers, H.J., Hegerfeldt, G.C.: Commun. math. Phys.28, 259 (1972)
Cegła, W., Jadczyk, A.Z.: Rep. Math. Phys.9, 377 (1976)
Randall, C.H., Foulis, D.J.: The empirical logic approach to the physical sciences. In: Lecture notes in physics, Vol. 29. Foundations of quantum mechanics and ordered linear spaces. Berlin-Heidelberg-New York: Springer 1972
Dacey, J.C.: Caribbean J. Sci. Math.1, 51 (1969)
Foulis, D.J., Randall, C.H.: J. Math. Phys.13, 1667 (1972)
Foulis, D.J., Randall, C.H.: J. Combinatorial Theory11, 157 (1971)
Woo, Ching-Hung: Quantum effects on the accuracy of momentum measurements. Preprint, Inst. Adv. Study. Princeton 1964
Dollard, J.D.: Commun. math. Phys.12, 193 (1969)
Jauch, J.M., Lavine, R., Newton, R.G.: Helv. Phys. Acta.45, 325 (1972)
Finkelstein, D.: Phys. Rev. D9, 2219 (1974)
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Communicated by R. Haag
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Cegła, W., Jadczyk, A.Z. Causal logic of Minkowski space. Commun.Math. Phys. 57, 213–217 (1977). https://doi.org/10.1007/BF01614163
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DOI: https://doi.org/10.1007/BF01614163